Base | Representation |
---|---|
bin | 1000010001011110110… |
… | …0000010001100000000 |
3 | 111120212101012011121220 |
4 | 2010113230002030000 |
5 | 4312041110340112 |
6 | 145143315515040 |
7 | 13161101312433 |
oct | 2042754021400 |
9 | 446771164556 |
10 | 142131340032 |
11 | 55306488490 |
12 | 236675b8a80 |
13 | 10531303a46 |
14 | 6c4471581a |
15 | 3a6cdc998c |
hex | 2117b02300 |
142131340032 has 144 divisors (see below), whose sum is σ = 416454044160. Its totient is φ = 42674688000.
The previous prime is 142131340031. The next prime is 142131340033. The reversal of 142131340032 is 230043131241.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (142131340031) and next prime (142131340033).
It is a super-2 number, since 2×1421313400322 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 142131339984 and 142131340011.
It is not an unprimeable number, because it can be changed into a prime (142131340031) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843657 + ... + 998007.
Almost surely, 2142131340032 is an apocalyptic number.
142131340032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 142131340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208227022080).
142131340032 is an abundant number, since it is smaller than the sum of its proper divisors (274322704128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142131340032 is a wasteful number, since it uses less digits than its factorization.
142131340032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 154490 (or 154476 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
Adding to 142131340032 its reverse (230043131241), we get a palindrome (372174471273).
The spelling of 142131340032 in words is "one hundred forty-two billion, one hundred thirty-one million, three hundred forty thousand, thirty-two".
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